715 K 17 pp. | ||

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Title | Quasiparticle Aggregation in the Fractional Quantum Hall Effect | |

Author(s) | Laughlin, R. B. | |

Publication Date | October 10, 1984 | |

Report Number | UCRL-91618 | |

Unique Identifier | ACC0124 | |

Other Numbers | Legacy ID: DE85001574; OSTI ID: 6349609; CONF-840879-10 | |

Research Org | Lawrence Livermore National Lab., CA (USA) | |

Contract No | W-7405-ENG-48 | |

Sponsoring Org | US Department of Energy (DOE) | |

Other Information | 17th International Conference on the Physics of Semiconductors; 6 Aug 1984; San Francisco, CA, USA | |

Subject | 645400 -- High Energy Physics -- Field Theory; Hall Effect -- Quantum Mechanics; Quasi Particles -- Hall Effect; Eigenstates; Elementary Particles | |

Keywords | Mechanics | |

Related Web Pages | Robert B. Laughlin and the Fractional Quantum Hall Effect | |

Abstract | Quasiparticles in the Fractional Quantum Hall Effect behave qualitatively like electrons confined to the lowest landau level, and can do everything electrons can do, including condense into second generation Fractional Quantum Hall ground states. I review in this paper the reasoning leading to variational wavefunctions for ground state and quasiparticles in the 1/3 effect. I then show how two-quasiparticle eigenstates are uniquely determined from symmetry, and how this leads in a natural way to variational wavefunctions for composite states which have the correct densities (2/5, 2/7, ...). I show in the process that the boson, anyon and fermion representations for the quasiparticles used by Haldane, Halperin, and me are all equivalent. I demonstrate a simple way to derive Halperin`s multiple-valued quasiparticle wavefunction from the correct single-valued electron wavefunction. (auth) | |

715 K 17 pp. | ||

View Document | ||